Radians to Degrees Converter
Convert radians (rad) to degrees (°) instantly. Free calculator with conversion table, formula, and examples.
1 rad=57.2958 °
Conversion Formula
How to convert radians to degrees mathematically.
The conversion factor is 57.2958. Multiply any radian value by this factor to get degrees.
Radians to Degrees — Quick Reference
Common radians values and their degrees equivalents.
| Radians (rad) | Degrees (°) |
|---|---|
| 1 rad | 57.2958 ° |
| 2 rad | 114.5916 ° |
| 5 rad | 286.479 ° |
| 10 rad | 572.958 ° |
| 15 rad | 859.437 ° |
| 20 rad | 1,145.92 ° |
| 25 rad | 1,432.4 ° |
| 50 rad | 2,864.79 ° |
| 75 rad | 4,297.19 ° |
| 100 rad | 5,729.58 ° |
| 250 rad | 14,323.95 ° |
| 500 rad | 28,647.9 ° |
When to Convert Radians to Degrees
Real-world scenarios where this conversion matters.
Engineering drafting Applications
In engineering drafting, measurements are frequently given in radians. Converting to degrees is essential for engineers who work with equipment or standards using the other unit system.
Astronomy Standards
Astronomers in astronomy often encounter values in radians. Converting to degrees allows seamless collaboration with international partners and compliance with regional standards.
Photography Requirements
The photography sector often requires aiming telescopes between radians and degrees when working across metric and imperial systems, ensuring accuracy in specifications and deliverables.
Academic & Educational Use
Robotics developers studying science regularly need to convert between radians and degrees for homework, lab reports, and exams that require answers in specific units.
Step-by-Step Examples
Imagine you need to convert a value from radians to degrees. See the conversion process broken down.
- Start with 10 radians
- Apply the conversion formula: ° = rad × 57.2958
- Multiply: 10 × 57.2958 = 572.958
- Result: 10 rad = 572.958 °
Result: 572.958 °
- Start with 50 radians
- Apply the conversion formula: ° = rad × 57.2958
- Multiply: 50 × 57.2958 = 2,864.79
- Result: 50 rad = 2,864.79 °
Result: 2,864.79 °
Did You Know?
The degree symbol ° was first used in print in 1569 and has been the standard notation ever since.
Frequently Asked Questions
Common questions about converting radians to degrees.
To convert radians to degrees, multiply the value in radians by 57.2958. Use our calculator above for instant, accurate results.
1 radian (rad) equals 57.2958 degrees (°). This conversion factor is used to translate between the two units.
This conversion is common when working with international standards, traveling between countries that use different measurement systems, or when academic and professional work requires specific units.
The conversion factor between radians and degrees is based on internationally agreed-upon definitions. Our converter uses the most precise factor available for maximum accuracy.
Yes! To convert degrees back to radians, divide by 57.2958 (or use the swap button on our converter above). The conversion works in both directions.
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